Least Common Multiple (LCM) of 92 and 167
The least common multiple (LCM) of 92 and 167 is 15364.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 92 and 167?
First, calculate the GCD of 92 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 167 = 0 remainder 92 |
| 2 | 167 ÷ 92 = 1 remainder 75 |
| 3 | 92 ÷ 75 = 1 remainder 17 |
| 4 | 75 ÷ 17 = 4 remainder 7 |
| 5 | 17 ÷ 7 = 2 remainder 3 |
| 6 | 7 ÷ 3 = 2 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 60 | 1680 |
| 170 and 169 | 28730 |
| 26 and 106 | 1378 |
| 191 and 67 | 12797 |
| 140 and 167 | 23380 |